Complex geometrical phases for dissipative systems

Abstract

We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

abstract = "We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.",

N2 - We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

AB - We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.